Question

based on the similar triangles shown below, theodore claims that △tuv is transformed to △wxy with a scale factor of $\frac{3}{2}$. is theodore correct?
a. yes, the triangles are similar with a scale factor of $\frac{3}{2}$.
b. no, the triangles are similar with a scale factor of $\frac{2}{1}$.
c. no, the triangles are similar with a scale factor of $\frac{2}{3}$.
d. no, the triangles are similar with a scale factor of $\frac{1}{3}$.

Explanation:

Step1: Calculate ratio of corresponding sides

Take the ratio of side lengths of $\triangle TUV$ to $\triangle WXY$. For example, $\frac{UV}{XY}=\frac{18}{12}=\frac{3}{2}$, $\frac{TV}{WY}=\frac{24}{16}=\frac{3}{2}$, $\frac{TU}{WX}=\frac{12}{8}=\frac{3}{2}$.

Answer:

A. Yes, the triangles are similar with a scale factor of $\frac{3}{2}$